A study was conducted to investigate relationships between different types of standard test scores. On
the Graduate Record Examination verbal test, 18 women had a mean of 538.82 and a standard
deviation of 114.16, and 12 men had a mean of 525.23 and a standard deviation of 97.23. Assume
that the two groups come from populations with the same standard deviation. Test the claim that the
mean score of women is equal to a mean score of men using a 0.02 significance level.
a) Define variables and extrapolate information from the word problem.
b) Claim:
c) Null Hypothesis, Ho:
Alternative Hypothesis, H1:
d) Graph of distribution (labeled) identifying the appropriate number of degrees of freedom (if
applicable), including critical regions, and significance level:
e) Critical Values:
f) Value of Test Statistic for sample:
g) Statistical Conclusion:
h) Sentence/Headline/Non-technical Conclusion in WORDS:
Please help me answer this, I am really in over my head with this. Please if you don't know, don't be rude and say things like, you need to this on your own, or think for yourself, and etc. If I knew how to do this, I wouldn't be asking for help :(((( Thank you to everyone who helps!
the Graduate Record Examination verbal test, 18 women had a mean of 538.82 and a standard
deviation of 114.16, and 12 men had a mean of 525.23 and a standard deviation of 97.23. Assume
that the two groups come from populations with the same standard deviation. Test the claim that the
mean score of women is equal to a mean score of men using a 0.02 significance level.
a) Define variables and extrapolate information from the word problem.
b) Claim:
c) Null Hypothesis, Ho:
Alternative Hypothesis, H1:
d) Graph of distribution (labeled) identifying the appropriate number of degrees of freedom (if
applicable), including critical regions, and significance level:
e) Critical Values:
f) Value of Test Statistic for sample:
g) Statistical Conclusion:
h) Sentence/Headline/Non-technical Conclusion in WORDS:
Please help me answer this, I am really in over my head with this. Please if you don't know, don't be rude and say things like, you need to this on your own, or think for yourself, and etc. If I knew how to do this, I wouldn't be asking for help :(((( Thank you to everyone who helps!
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Anna -
This problem will be solved using a Pooled 2-sample t-Test:
a) Define variables and extrapolate information from the word problem.
18 women had a mean of 538.82 and a standard deviation of 114.16
12 men had a mean of 525.23 and a standard deviation of 97.23
b) Claim: the claim that the mean score of women is equal to a mean score of men
c) Null Hypothesis, Ho: mean score of women = mean score of men
Alternative Hypothesis, H1: mean score of women NOT EQUAL mean score of men
d) Graph of distribution (labeled) identifying the appropriate number of degrees of freedom (if
applicable), including critical regions, and significance level:
This problem will be solved using a Pooled 2-sample t-Test:
a) Define variables and extrapolate information from the word problem.
18 women had a mean of 538.82 and a standard deviation of 114.16
12 men had a mean of 525.23 and a standard deviation of 97.23
b) Claim: the claim that the mean score of women is equal to a mean score of men
c) Null Hypothesis, Ho: mean score of women = mean score of men
Alternative Hypothesis, H1: mean score of women NOT EQUAL mean score of men
d) Graph of distribution (labeled) identifying the appropriate number of degrees of freedom (if
applicable), including critical regions, and significance level:
12
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